There are no numbers between 1.8×100 and 195%.
What are numbers?The representation of quantities or values using numbers is a fundamental idea in mathematics. They can be applied to measure, compare, compute, and count. Depending on the situation and the chosen notational system, numbers can be represented in a variety of ways, such as digits, words, or symbols.
Based on their attributes and traits, several sorts of numbers can be distinguished in mathematics. The following list includes some of the most typical numbers:
Natural numbers: These are the numbers used for counting, such as 1, 2, 3, 4, 5, and so on.Whole numbers: These are the natural numbers together with zero, such as 0, 1, 2, 3, 4, and so on.Integers: These are the whole numbers together with their negatives, such as -4, -3, -2, -1, 0, 1, 2, 3, 4, and so on.Rational numbers: These are numbers that can be expressed as a fraction of two integers, such as 1/2, 0.75, -2/3, and so on.Irrational numbers: These are numbers that cannot be expressed as a fraction of two integers, such as π (pi), √2 (square root of 2), and so on.Real numbers: These are all rational and irrational numbers together.Complex numbers: These are numbers of the form a + bi, where a and b are real numbers, and i is the imaginary unit, which is defined as the square root of -1.To identify the numbers between 1.8×100 and 195%, we need to convert both numbers to the same unit of measurement.
1.8×100 = 180
195% = 1.95 (since 195% is equal to 1.95 times the original quantity)
Now, we need to identify all numbers between 180 and 1.95. To do this, we can simply list all the numbers that are greater than 180 and less than 1.95, excluding 180 and 1.95 themselves. However, we notice that there are no such numbers, because:
Any number greater than 180 is also greater than 1.95 since 1.95 is less than 2 and 180 is greater than 2.
Any number less than 1.95 is also less than 180 since 180 is greater than 100 (which is 1% of 10,000) and 1.95 is less than 2.
Therefore, there are no numbers between 1.8×100 and 195%.
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Answer:
1 7/8
Step-by-step explanation:
i took the test
Can you help me find the point of intersection for the question in the picture attached?
Answer:
The ordered pair that is a solution is (2, 10)
Step-by-step explanation:
2x + 6 = 4x + 2 Subtract 2x from both sides
2x - 2x + 6 = 4x - 2x + 2
6 = 2x + 2 Subtract 2 from both sides
6 - 2 = 2x + 2 -2
4 = 2x Divide both sides by 2
2 = x
Substitute 2 for x in either of the two original equations.
y = 2x + 6
y = 2(2) + 6
y = 4 + 6
y = 10
The ordered pair that is a solution is (2, 10)
An ellipse has a vertex at (–5, 0), a co-vertex at (0, 4), and a center at the origin. Which is the equation of the ellipse in standard form?
The equation of the ellipse in standard form is 16x² + 25y² = 400.
What is the standard form of the equation of an ellipse?The standard form of the equation of an ellipse centered at the origin is:
x²/a² + y²/b² = 1
where a is the distance from the center to a vertex along the x-axis, and b is the distance from the center to a co-vertex along the y-axis.
In this case, we know that the center of the ellipse is at (0,0), a vertex is at (-5,0), and a co-vertex is at (0,4).
The distance from the center to a vertex along the x-axis is the absolute value of the x-coordinate of the vertex, which is 5. So, a = 5.
The distance from the center to a co-vertex along the y-axis is the absolute value of the y-coordinate of the co-vertex, which is also 4.
So, b = 4.
Substituting these values into the standard form equation, we get:
(x²/5²) + (y²/4²) = 1
Simplifying and multiplying by 5² and 4², we get the standard form equation of the ellipse:
16x² + 25y² = 400
Therefore, the equation of the ellipse in standard form is 16x² + 25y² = 400.
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Return on Total Assets
A company reports the following income statement and
balance sheet information for the current year:
Net income
Interest expense
Average total assets
$386,760
68,250
5,230,000
Determine the return on total assets. If required, round
the answer to one decimal place.
6, Incorrect
The return on total assets (ROTA) can be calculated using the formula:
ROTA = Net Income / Average Total Assets
Using the given information, we have:
ROTA = $386,760 / $5,230,000 = 0.0739 or 7.39%
Therefore, the return on total assets for the company is 7.39%. Note that this answer is rounded to two decimal places.
Joe dreams of being a striker for Bafana Bajora some day. Every day, after school, he takes 100 practice goal kicks from various angles and distances. On the first day he only managed to kick 12 goals. On the second next day be kicked 14 goals, on the third day 16 and on the fourth day 18. If the pattern continues, how long will be huve to practice before he will kick 100 goals?
The number of days it will take for him to kick 100 goals is given as follows:
45 days.
How to define a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which:
The slope m represents the increase of y per each unit of x.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
m = 2, as each day, the number of goals increased by two.b = 10, as on the first day, he managed to kick 12 goals, hence on the day zero, the amount was of 12 - 2 = 10.Hence the function giving the number of goals on day x is given as follows:
y = 2x + 10.
The number of days for him to score 100 goals is then obtained as follows:
100 = 2x + 10
2x = 90
x = 90/2
x = 45 days.
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In AOPQ, p = 6.3 cm, m/O=149° and m/P=29°. Find the length of q, to the nearest
10th of a centimeter.
The length of q is approximately is 0.4 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To solve for the length of q in triangle AOPQ, we can use the law of sines, which states:
a/sin A = b/sin B = c/sin C
where a, b, and c are the lengths of the sides opposite the angles A, B, and C, respectively.
In triangle AOPQ, we know that:
Side p = 6.3 cm (opposite angle P)
Angle O = 149° (opposite side q)
Angle P = 29° (opposite side p)
Let use angle sum property of triangles to find the measure of angle Q:
Angle Q = 180° - Angle O - Angle P
Angle Q = 180° - 149° - 29°
Angle Q = 2°
Now we can use the law of sines to solve for the length of q:
q/sin Q = p/sin P
q/sin(2°) = 6.3/sin(29°)
q = sin(2°) × (6.3/sin(29°))
q=0.034 × (6.3/0.484)
q = 0.442 cm
Therefore, the length of q is approximately is 0.4 cm.
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Describe the type and degree of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.
As the time a basketball player practices increases, the number of points scored in a game decreases with a weak linear association.
As the time a basketball player practices increases, the number of points scored in a game decreases with a weak nonlinear association.
As the time a basketball player practices increases, the number of points scored in a game increases with a strong linear association.
As the time a basketball player practices increases, the number of points scored in a game increases with a strong nonlinear association.
The correct statement regarding the association of the time the player spent practicing and the number of points he scored in the game is given as follows:
As the time a basketball player practices increases, the number of points scored in a game increases with a strong nonlinear association.
How to describe the association?The more the player practices, the better he/she performs, that is, the more points are scored, hence the number of points increases as the number of hours practiced increase.
However, there reaches a certain threshold where the player is as good as possible, hence the points tend to stabilize, meaning that there is a nonlinear association between the variables.
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After a 27% decrease the value of a game card was now on sale for $34.00. What was the original price?
The original price of the game card was approximately $46.58.
What purpose does a game serve?When the game can be effectively described by a numerical "characteristic function," such as v(S), which expresses how much any coalition S of players may win with certainty, regardless of the behaviour of the other players, then we can most readily determine the value of the game.
Let x represent the game card's initial cost. So 1 - 0.27 = 0.73, the price would be 0.73x after a 27% drop.
We are aware that 34.00 = 0.73x. We can divide both sides by 0.73 to find x:
x = 34.00 ÷ 0.73
x ≈ 46.58
Thus, the game card's initial cost was only about $46.58.
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In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.
There are 10 roller coasters at 6 flags. If you only have time to ride 3 before the park closes. How many different ways can you create a path to 3 different roller coasters?.
There are 120 different ways to create a path to 3 different roller coasters at Six Flags.
There are a total of 10 choose 3 ways (120) to choose 3 roller coasters out of the 10 available at Six Flags. To calculate this, we can use the combination formula.
The combination formula is:
nCr = n!/(r!(n-r)!).In this case, n is 10 and r is 3, so the total number of possible combinations is
10!/3!7! = 120.To calculate the number of combinations without using a formula, we can use the following method: Start with the first roller coaster, then add a second roller coaster, then a third. There are 10 choices for the first roller coaster, then 9 for the second, and 8 for the third. This results in:
10x9x8 = 720 possible combinationswhich is 6 times more than the 120 calculated by the combination formula. This is because the combinations ABC and CBA are the same, and so are other combinations that are just permutations of each other.
Therefore, there are 120 different ways to create a path to 3 different roller coasters at Six Flags.
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Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2]
by calculating the sum of the areas of 4 rectangles with equal widths along the interval. The
rectangles should be placed on the x-axis and the heights should be the function values at the right
endpoint of each subinterval, as shown below.
The approximate area between the x-axis and the graph of f(x) =x² +3
over the interval [0, 2] is 9.75.
What is interval in function?introducing intervals, bounded collections of numerical values that are highly helpful in explaining domain and range. To demonstrate where a value lies in relation to two endpoints, we can use interval notation.
To approximate the area between the x-axis and the graph of
f(x) = x² + 3 over the interval [0, 2].
The heights of the rectangles in the right rectangle method are determined by the function's value at the right endpoint of each subinterval. The right endpoints of each subinterval would be 0.5, 1, 1.5, and 2 if the range [0, 2] were divided into 4 equal subintervals, each of width 0.5.
The height of the first rectangle
f(0.5) = 0.5² + 3
f(0.5) = 3.25
and, the height of the second rectangle
f(1) = 1² + 3
f(1) = 4
and, the height of the third rectangle
f(1.5) = 1.5² + 3
f(1.5) = 5.25
and, the height of the fourth rectangle
f(2) = 2² + 3
f(2) = 7
So, sum of the areas of the rectangles
= (0.5) × (3.25+4+5.25+7)
= (0.5) × 19.5
= 9.75
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What is the future value of $2,500 deposited for one year earning a 14 percent interest rate annually
Answer: $2,850
Step-by-step explanation:
Hope this helped you. Brainliest if possible! :D
I also answered first! (Please don't copy my answer for anyone that answer this question!) :D
A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach? responses 1. 9 feet 1. 9 feet 7. 0 feet 7. 0 feet 12. 7 feet 12. 7 feet 17. 0 feet.
If A 15-foot pole is leaning against a tree and bottom of the pole is 8 feet away from the bottom of the tree. then the top of the pole reaches option (C) 12.7 feet
We can use the Pythagorean theorem to solve this problem. Let's call the height we're trying to find "x". Then, we have a right triangle where the pole is the hypotenuse, the distance from the bottom of the pole to the tree is one leg, and the height we're trying to find is the other leg. Using the Pythagorean theorem, we have:
15^2 = 8^2 + x^2
225 = 64 + x^2
Group the like terms
161 = x^2
x ≈ 12.7 feet
Therefore, the correct option is (c) 12.7 feet
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Suppose that, in 2006, Germany produced 13.239 million bikes. The total world production that year totaled 84 million bikes. What percent of the world's total production of bikes is contributed by Germany? Round your answer to the nearest tenth of a percent.
Answer:
15.8%
Step-by-step explanation:
You want the percentage of world bike production represented by 13.239 million bikes out of a world production of 84 million bikes.
PercentageA fraction is converted to a percentage by multiplying it by 100%.
13.239/84 × 100% ≈ 15.8%
Germany contributed about 15.8% of the world's bike production in 2006.
41 is what percent of 120
Answer: Approximately 34.17%.
Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%
Solve for m.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
8m + 95 < -87m+5
The values of m for the given inequality should be in the interval
(-∞, -18/19).
What is meant by inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols. Typically, we use the "not equal" sign to indicate that two values are not equal. However several inequalities are utilised to compare the numbers, whether it is less than or higher than.
Given the inequality,
8m + 95 < -87m +5
We are asked to solve the inequality.
this means we have to find the value of m.
8m + 95 < -87m +5
8m + 87m < 5 - 95
95m < -90
m < -90/95
m< -18/19
Therefore the values of m for the given inequality should be in the interval (-∞, -18/19).
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Fill in the blanks:
1) if tan x=0, then tan(-x)= ___
2) If sin x= 0.3, then sin(-x)= ____
3) If cos x= 0.3, then cos(-x)= ____
4) If tan x= -2, the tan (pi+x)= ____
The values are :
tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2What is trigonometry ?
Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and the trigonometric functions such as sine, cosine, and tangent. It is based on the study of the geometric properties of triangles and is used extensively in fields such as physics, engineering, architecture, and astronomy.
In trigonometry, the relationships between the sides and angles of a triangle are expressed using the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios between the sides of a right triangle, where one angle is 90 degrees. Trigonometric functions can also be defined for any angle, not just those in a right triangle, using the unit circle or other methods.
Trigonometry has many practical applications, such as in navigation, surveying, and the design of structures such as bridges and buildings. It is also used extensively in science and engineering, particularly in fields such as physics, mechanics, and electromagnetics.
If tan x = 0, then tan(-x) = 0.
The tangent function is an odd function, which means that tan(-x) = -tan(x). However, since tan x = 0, this means that -tan(x) = 0 as well. Therefore, tan(-x) = 0.
If sin x = 0.3, then sin(-x) = -0.3.
The sine function is an odd function, which means that sin(-x) = -sin(x). Since sin x = 0.3, this means that -sin(x) = -0.3. Therefore, sin(-x) = -0.3.
If cos x = 0.3, then cos(-x) = 0.3.
The cosine function is an even function, which means that cos(-x) = cos(x). Since cos x = 0.3, this means that cos(-x) = 0.3 as well.
If tan x = -2, then tan(pi+x) = tan(pi + atan(-2)) = tan(2.0344 + pi) = -2.
To find tan(pi + x), we need to use the identity tan(a + pi) = -tan(a). In this case, a = atan(-2), which is the inverse tangent of -2. Using a calculator or a table, we can find that a is approximately 2.0344 radians. Therefore, tan(pi + x) = -tan(2.0344) = -(-2) = 2.
Hence, values are
tan(-x) = 0sin(-x) = -0.3cos(-x) =0.3tan(pie + x) = 2To know more about trigonometry visit :
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(a) Select each constant that is definitely positive.
(b) Select each constant that is definitely between 0 and 1.
(c) Select each constant that could be between 0 and 1 or is definitely between 0 and 1.
(d) Which two of these constants are definitely equal?
(e) Which one of the following pairs of constants could be equal?
The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.
What is an exponent?Let 'a' is the leading coefficient and 'b' is the factor.
The exponent is given as,
y = a(b)ˣ
Some points regarding the exponent function:
If the value of 'b' is greater than one, then the graph will be increasing in nature.If the value of 'b' is less than one, then the graph will be decreasing in nature.If the value of 'b' is equal to one, then the graph will be constant in nature.If 'a' is positive, the graph will be above the line.If 'a' is negative, the graph will be below the line.If 'a' is the same for two exponent equations, then the graph has the same y-intercept.The variable which is always positive will be a, b, c, d, p, and q. The constant that lies between 0 to 1 will be 'b'. And the two constants that are definitely equal will be 'a' and 'c'.
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Antonio has 3 different colored shirts, he wants to share them with his 2 brothers. How many times can all 3 boys trade shirts without wearing them twice?
Answer:
6 times
HOPE THE ANSWER HELPS
Sampling considerations. A statistics class has 10 graduate students and 40 undergraduate students. You want to randomly sample 10% of the students in the class. One graduate student and four undergraduate students are selected at random. Which of the following is not correct? and why?
(a) Because each student has a 10% chance of being selected, this is a simple random sample.
(b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
(c) It is possible to get a sample that contains only graduate students.
(d) It is possible to get a sample that contains only undergraduate students.
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
Simple random sample:A simple random sample is a type of probability sampling method used in statistics, where each member of a population has an equal chance of being selected for the sample.
In other words, in a simple random sample, every possible sample of a given data will have has an equal probability of being selected from the population.
Here we have
A statistics class has 10 graduate and 40 undergraduate students.
We want to randomly sample 10% of the students in the class.
Even though one graduate student and four undergraduate students are selected at random, the percentage selecting both categories is the same.
Hence, this is a simple random sample.
Therefore,
The option that is incorrect is option (b) Because each sample includes exactly one graduate student and four undergraduate students, this is not a random sample.
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Ann had a total of 285 red and blue beads. She used 45 red beads and 40% of the blue bead. After that,the ratio of the number of red beads to blue beads Ann had was 1:3.
[a] what fraction of blue beads did Ann use
[b] How many beads did Ann have in the end
(a) Ann used 4/10 blue beads i.e. 80.
(b) Ann had 160 beads in the end.
The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
According to mathematicians, any real number may be expressed using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.
(a) We are given that Ann had a total of 285 red and blue beads, and she used 45 red beads and 40% of the blue bead.
Let the red beads be x and blue beads be y
So, we get
x + y = 285
x = 285 - y
After using the beads, we get another equation as
⇒(x - 45) / (y - 0.4y) = 1/3
⇒(285 - y - 45) / (y - 0.4y) = 1/3
⇒(240 - y) / (0.6y) = 1/3
⇒720 - 3y = 0.6y
⇒720 = 3.6y
⇒y = 200
So, x = 85
Blue beads used = 40% of 200 = 80
(b) Since, Ann has used 80 blue beads and 45 red beads, so
Beads in the end = 285 - 45 - 80 = 160
Hence, Ann had 160 beads in the end.
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classify the following as point , line , and or plane ________1 Corner of a Vaccinatopn room ________2 Face mask ________3 Long chain of children for pediatric vaccination
1. Point - Corner of a Vaccination room
2. Plane - Face mask
3. Line - The long chain of children for pediatric vaccination
What are points, lines, and planes:Point:
A point is represented as a "dot" on paper. There will be no length, width, or height existing for a point. It simply identifies a certain position. Zero dimensions apply to it.
Line:
The line is a one-dimensional shape in geometry. A line, thus, has length but neither width nor height. In any direction, a line never stops. Two end points of lines act as the fundamental determinants of a line.
Plane:
The coordinate plane, which is used to plot points in algebra, is an example of a plane. The number lines on the coordinate plane stretch eternally from left to right and from up to down, respectively. The coordinate plane cannot be seen entirely.
Here we have
Corner of a Vaccination room, Face mask, The long chain of children for pediatric vaccination
Where
The corner of a Vaccination room represents a point.
Face mask represents a plane
The long chain of children for pediatric vaccination represents a line.
Therefore,
1. Point - Corner of a Vaccination room
2. Plane - Face mask
3. Line - The long chain of children for pediatric vaccination
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Please Answer Quick!!
Therefore , the solution of the given problem of graph comes out to be
option c is correct it shows an association of the distribution of different mode of transportation among the same age of group.
What is graph ?Academics use graphs to visually represent or chart happenings or quantities in a logical manner. The interaction between a number of objects is frequently represented by a graph point. A graph is a non-linear storage structure made up of nodes, also known as vertices, and edges. The vertices, sometimes referred to as nodes, should be joined together with glue. Vertex numbers in this graph are 1, 2, 3, or 5, while edge numbers are 1, 2, 1, 3, 2, 4, etc. (2.5). (3.5). (4.5). (4.5). (4.5).
Here,
Given : A graph having choices of adult , child , teen and senior mode of transportation ,
In different age the mode of transportation preferred by among the same ages .
Thus ,
it shows an association of the distribution of different mode of transportation among the same age of group.
So , option c is the correct answer.
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if you have to go to school 3 days from tuesday what day will you go back to school
Answer:
Three days from Tuesday is Friday.
Unexpected expenses have come up, and you want a cash advance on your credit card (which comes with a transaction fee of 2.5%). The limit on your credit card is $7,500, and you already have a balance of $2,200. What is your available credit? How much will you owe as a transaction fee if you want a cash advance on your available credit??
Please answer correctly and explain your answer…
To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:
Available credit = credit limit - current balance - cash advance amount
Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:
Available credit = $7,500 - $2,200 - cash advance amount
Now, if you want a cash advance of $1,000, for example, your available credit will be:
Available credit = $7,500 - $2,200 - $1,000 = $4,300
Therefore, your available credit is $4,300 if you want a cash advance of $1,000.
To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:
Transaction fee = $1,000 x 0.025 = $25
Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.
Determine if the statement is true or false. Construct an argument that can be used to defend your solution.
An exterior angle of a triangle will always be obtuse.
The statement "an exterior angle of a triangle will always be obtuse" is actually false.
Why it is?
An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.
The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.
In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.
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Jack and Glen share a 30-ounce box of cereal. By the end of the week, Jack has eaten
1
10
of the box, and Glen has eaten
2
5
of the box of cereal. How many ounces are left in the box?
Answer:
15 oz
Step-by-step explanation:
1/10 of 30 = 30/10 = 3 oz
2/5 of 30 = 30 * 2/5 = 60/5 = 12 oz
add those up to get 3 + 12 = 15 oz eaten
there are thus 30-15 = 15 oz left in the box
I need help with this question.
For the trapezoid ABCD following statements are true -
Statement 2: The length of AB can be found using 3²+4²=c².
Statement 3: The perimeter of the trapezoid shown is 22 units.
What is a trapezoid?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.
Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -
(Hypotenuse)² = (Base)² + (Perpendicular)²
AB = √((4 - 1)² + (7 - 3)²)
AB = √((3)² + (4)²)
AB = √(9 + 16)
AB = 5
Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 5 + 4 + 8
Perimeter = 22
Therefore, second and third statement is true.
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Can someone please help.
The sinusoidal function is y = 2sin(2x) - 1
How to determine the sinusoidal functionThe general form of a sinusoidal function is given by:
y = A sin(Bx + C) + D
where:
A is the amplitudeB is the frequencyC is the phase shiftD is the vertical shiftWe know that the period is π and the amplitude is 2.
So, we have
A = 2
B = (2π)/(π) = 2
So, we have
y = 2sin(2x + C) + D
The point (-11π/4, 1) implies that, the function is shifted down by 1 unit
So, we have
y = 2sin(2x) - 1
Hence, the function is y = 2sin(2x) - 1
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WILL VOTE 75 POINTSSS
Which of the following can sine squared theta over the quantity 1 plus cosine theta end quantity be simplified to?
cos θ
1 + cos θ
1 − cos θ
sin θ + tan θ
Answer:
The expression "sine squared theta over the quantity 1 plus cosine theta end quantity" can be simplified to "1 - cos θ".
Answer:
1 - cos θ
Step-by-step explanation:
Use equivalent ratios to find the unknown vaule step by step 7/11= 28/44
Answer:
7:11
28:44
Step-by-step explanation:
Multiply both sides by 4.